four equal circles each of radius a touch one another find the area between them four equal circles are described about the four corners of a square so that each circle touches one of the Other find the area of the space between the circumference of the circle is side of the measuring 24 centimetre
Answers
the area of the space between the circumference of the circle = 30.9 cm²
Step-by-step explanation:
Diameter of two circles = 24 cm
Diameter of one circle = 24/2= 12 cm
Radius of one circle = 6 cm
Side of square formed by joining adjacent center of circles = 6 + 6 = 12 cm
Area of square = 12 * 12 = 144 cm²
it contains 4 90 deg segment of circles & area of the space between the circumference of the circle
144 = 4 * (90/360)π6² + area of the space between the circumference of the circle
=> area of the space between the circumference of the circle = 144 - 36π
= 30.9 cm²
a²(4 - π) cm² if radius of circle = a cm
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